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ERIC Number: EJ943569
Record Type: Journal
Publication Date: 2011-Oct
Pages: 8
Abstractor: ERIC
Reference Count: 3
ISSN: ISSN-1073-5836
Reading Students' Representations
Diezmann, Carmel M.; McCosker, Natalie T.
Teaching Children Mathematics, v18 n3 p162-169 Oct 2011
Representations play a key role in mathematical thinking: They offer "a medium" to express mathematical knowledge or organize mathematical information and to discern mathematical relationships (e.g., relative household expenditures on a pie chart) using text, symbols, or graphics. They also furnish "tools" for mathematical processes (e.g., use of a number line for addition). Thus, students' self-created representations give teachers "windows" into their mathematical thinking. The caveat is that these windows are affected by students' proficiency with representation and teachers' capacity to read (i.e., interpret) students' representations. In this article, the authors use a model to explore the role of representations in student thinking. They then discuss a set of student-created representations produced during an investigation and their implications for instruction. (Contains 6 figures.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education; Grade 5
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A